The Paradigm of Complex Probability and Absorbing Markov Chains

Jaoudé, Abdo Abou (2024) The Paradigm of Complex Probability and Absorbing Markov Chains. In: The Paradigm of Complex Probability and Markov Chains, Edition 1. BP International, pp. 232-346. ISBN 978-93-48006-53-0

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Abstract

The five fundamental axioms of classical probability theory were put forward in 1933 by Andrey Nikolaevich Kolmogorov. Encompassing new imaginary dimensions with the experiment real dimensions will make the work in the complex probability set totally predictable and with a probability permanently equal to one. This is the original idea in my complex probability paradigm. Therefore, this will make the event in C = R + M absolutely deterministic by adding to the real set of probabilities R the contributions of the imaginary set of probabilities M. It is of great importance that stochastic systems become totally predictable since we will be perfectly knowledgeable to foretell the outcome of all random events that occur in nature. Consequently, by calculating the parameters of the new prognostic model, we will be able to determine the magnitude of the chaotic factor, the degree of our knowledge, the real and imaginary and complex probabilities in the probability sets R and M and C and which are all subject to chaos and random effects. Hence, we will apply this novel paradigm to Absorbing Markov Chains Theory in order to express it totally and absolutely deterministically in the complex universe C of probabilities.

Item Type: Book Section
Subjects: ScienceOpen Library > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 30 Aug 2024 05:51
Last Modified: 30 Aug 2024 05:51
URI: http://scholar.researcherseuropeans.com/id/eprint/2516

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